(1) Total area available for car parking is [tex]\rm\bold{ 858 \; m^2}[/tex]
(2) 68 compact parking spaces will fit in the lot.
(3) 52 non compact parking spaces will fit it the lot.
Parking lot behind the store is has a rectangular shape
Total area available in the parking lot = Length of the parking lot [tex]\times[/tex] Width of the parking lot
Length of the parking lot = 78 m
Width of the parking lot = 19 m
[tex]\rm Area\; of \; the \; parking \; lot = 78 \times 19 = 1482 \; m^2[/tex]
Given that aisle bisects the parking lot it means it passes through the center of the parking lot area
(1) The Width of aisle = 8 m
Length of the aisle = 78 m
[tex]\rm Area\; of \; aisle = 78 \times 8 = 624 m^2[/tex]
[tex]\rm The\; remaining \; area\; for\; parking = 1482 - 624 = 858 \; m^2[/tex]
So we can conclude that the total area available for car parking = [tex]\rm 858 \; m^2[/tex]
(2) According to the given situation If the parking spaces are compact, they have an area of [tex]\rm 12.5 \; m^2[/tex]
We have to determine that how many compact parking spaces will fit in a lot
So Since the area of one compact space is [tex]\rm 12.5 \; m^2[/tex] and the total area available for parking is [tex]\rm 858 \; m^2[/tex] the number of compact parking spaces available will be determined as follows
Let "n" be the number of compact parking spaces available.
[tex]\rm n \times 12.5 = 858 \\n = 858/12.5 \\n = 68.64 \approx 68[/tex]
So 68 compact parking spaces will fit in the lot.
(3) The Length for one non compact parking space = 5.5 m
Width for one non compact parking space = 3 m
[tex]\rm Area\;of \; one \; non \; compact \; parking \; space = 3\times 5.5 = 16.5 \; m^2[/tex]
Let there be "N" number of non compact parking spaces available
Hence we can write that
[tex]\rm N \times 16.5 = 858 \\N = 858/16.5 = 52[/tex]
So 52 non compact parking spaces will fit it the lot.
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